Lunar Years!

Algebra Level 3

The moon rotates 360 degrees around the earth (completes a circle) in about 27.3 days. However, a lunar month defined as the days between new moons is 29.5 days. The difference is because during the 27.3 days of the moon's circle, the earth moved about 27 degrees around the sun. The moon takes 2.2 days to catch up.

Assuming the lunar and solar years were synchronized at some moment. What will the difference between the years be after 300 solar year? Round the answer to the nearest year.

Image courtesy of http://www.moonconnection.com/moon_phases.phtml

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